PT-symmetric optical superlattices
arXiv:1402.3165 · doi:10.1088/1751-8113/47/16/165302
Abstract
The spectral and localization properties of $\mathcal{PT}$-symmetric optical superlattices, either infinitely extended or truncated at one side, are theoretically investigated, and the criteria that ensure a real energy spectrum are derived. The analysis is applied to the case of superlattices describing a complex ($\mathcal{PT}$-symmetric) extension of the Harper Hamiltonian in the rational case.
final version, 7 figures, to appear in J.Phys. A